Supersymmetry of Rotating Branes

TL;DR

This paper introduces a new supersymmetric rotating M-brane solution in eleven-dimensional supergravity, analyzing its geometry, symmetries, and effects of dimensional reduction, with implications for understanding supergravity solutions.

Contribution

It presents a novel 1/8 supersymmetric rotating intersecting M-brane solution with a detailed analysis of its isometry supergroup and dimensional reduction effects.

Findings

The solution has a non-singular horizon and an $adS_3\times S^3\times S^3\times\bE^2$ near-horizon geometry.

The isometry supergroup is $D(2|1,\alpha)\times D(2|1,\alpha)$, with $\alpha$ as the ratio of 3-sphere radii.

Dimensional reductions affect the Killing spinors and supergroups, altering the solution's symmetry properties.

Abstract

We present a new 1/8 supersymmetric intersecting M-brane solution of D=11 supergravity with two independent rotation parameters. The metric has a non-singular event horizon and the near-horizon geometry is $adS_3\times S^3\times S^3\times\bE^2$ (just as in the non-rotating case). We also present a method of determining the isometry supergroup of supergravity solutions from the Killing spinors and use it to show that for the near horizon solution it is $D(2|1,\alpha)\times D(2|1,\alpha)$ where $\alpha$ is the ratio of the two 3-sphere radii. We also consider various dimensional reductions of our solution, and the corresponding effect of these reductions on the Killing spinors and the isometry supergroups.